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$$ LARCALC$127\mathrm{.}1\mathrm{.}050.$

Consider the following.

$y=x^2$

$y=\sqrt[\phantom{2}]{6+x}$

Use a graphing utility to graph the region bounded by the graphs of the equations, consider why the area of the region is difficult to find analytically, and use the integration capabilities of the graphing utility to approximate the area to four decimal places.

What is the approximate area to four decimal places?

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